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" If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. "
Euclid - Page 31
by Euclid, Rupert Deakin - 1903 - 164 pages
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...right angles, or are together equal to two right angles. Which was to be proved. PEOP. XIV. THEOE. If at a point in a straight line, two other straight lines, on the opposite sides of it, make with it the adjacent angles together equal to two right angles: then...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...equal to two right angles. Wherefore, the angles which one straight line, &c. QED PROP. XIV. THEOREM. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...together equal to two right angles. Wherefore, when a straight line, etc. QED PROPOSITION XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite side of it, make the adjacent angles together equal to two right angles, these two...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these ttOo straight lines are in one and the same straight line. At the point B in the straight line AB,...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...the squares on AC, AS, furthest removed from point A; shew that F, A, K, are in one straight line. 2. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these tWo...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...added to this proposition by Euclid, are included in those now added to Prop. XIII. Exercise 1. — If at a point in a straight line two other straight lines meet upon the opposite sides of it, and make the vertical or opposite angles equal, these two straight...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...side of it, are either two right angles, or are together equal to two right angles. The 14th, Book I. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...equal to that of the two adjacent angles BAD, DAF. B E PROPOSITION in. THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...sides equal, and its angles rt. angles. P. 14. If at a point in a st. line two other st. lines on the opposite sides of it make the adjacent angles together equal to two rt. angles, these two lines shall be in one and the same st. line. Ax. 1. Things equal to the same...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...equal. PROPOSITION Xrv. THEOREM. If, at a point in a straight line, two other straight lines, upon tlie opposite sides of it, make the adjacent angles together...lines shall be in one and the same straight line. Given that at the point B in the straight line AB, the two straight lines BC and BD, upon the opposite...
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